IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTION
Monte Carlo method was a numerical method that was popular in finance. This method had disadvantages at convergences, so the moment matching was used to improve the efficiency from Monte Carlo method. The research has discussed about pricing of the lookback floating strike option using the Monte Car...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2022-12-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6490 |
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| author | Komang Nonik Afsari Dewi Donny Citra Lesmana Retno Budiarti |
| author_facet | Komang Nonik Afsari Dewi Donny Citra Lesmana Retno Budiarti |
| author_sort | Komang Nonik Afsari Dewi |
| collection | DOAJ |
| description | Monte Carlo method was a numerical method that was popular in finance. This method had disadvantages at convergences, so the moment matching was used to improve the efficiency from Monte Carlo method. The research has discussed about pricing of the lookback floating strike option using the Monte Carlo moment matching method. The monthly stock price of PT TELKOM from 2004 to 2021 that used in this research. The results obtained by adding variance reduction moment matching in Monte Carlo method, which produces a relatively had smaller error when compared to the relative error of the standard Monte Carlo method. The orders of convergence from Monte Carlo method with variance reduction moment matching for call and put option are about 1.1 and 1.4. The conclusion that addition of the moment matching can increase the efficiency of the Monte Carlo method in determining the price of the lookback floating strike option. |
| format | Article |
| id | doaj-art-5ecd54387051415bbec4dbe150ec4d4f |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-5ecd54387051415bbec4dbe150ec4d4f2025-08-20T04:01:48ZengUniversitas PattimuraBarekeng1978-72272615-30172022-12-011641365137210.30598/barekengvol16iss4pp1365-13726490IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTIONKomang Nonik Afsari Dewi0Donny Citra Lesmana1Retno Budiarti2Departement of Mathematics, Faculty of Mathematics and Natural Sciences, IPB UniversityDepartement of Mathematics, Faculty of Mathematics and Natural Sciences, IPB UniversityDepartement of Mathematics, Faculty of Mathematics and Natural Sciences, IPB UniversityMonte Carlo method was a numerical method that was popular in finance. This method had disadvantages at convergences, so the moment matching was used to improve the efficiency from Monte Carlo method. The research has discussed about pricing of the lookback floating strike option using the Monte Carlo moment matching method. The monthly stock price of PT TELKOM from 2004 to 2021 that used in this research. The results obtained by adding variance reduction moment matching in Monte Carlo method, which produces a relatively had smaller error when compared to the relative error of the standard Monte Carlo method. The orders of convergence from Monte Carlo method with variance reduction moment matching for call and put option are about 1.1 and 1.4. The conclusion that addition of the moment matching can increase the efficiency of the Monte Carlo method in determining the price of the lookback floating strike option.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6490lookback optionmonte carlo methodvariance reductionmoment matching |
| spellingShingle | Komang Nonik Afsari Dewi Donny Citra Lesmana Retno Budiarti IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTION Barekeng lookback option monte carlo method variance reduction moment matching |
| title | IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTION |
| title_full | IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTION |
| title_fullStr | IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTION |
| title_full_unstemmed | IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTION |
| title_short | IMPLEMENTATION OF MONTE CARLO MOMENT MATCHING METHOD FOR PRICING LOOKBACK FLOATING STRIKE OPTION |
| title_sort | implementation of monte carlo moment matching method for pricing lookback floating strike option |
| topic | lookback option monte carlo method variance reduction moment matching |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6490 |
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